Which of the following relations on the set A = {0, 1, 2, 3} is an equivalence relation? Check all that apply. R= {(0, 0). (1, 1). (1, 2). (2. 1). (2. 2). (3. 3)} R= {(0, 0). (1, 1). (2, 2). (3. 3)} R= {(0,0.). (1, 1). (1, 3). (2, 2). (2, 3), (3, 1). (3, 2). (3, 3)} R= {(0,0.). (0, 2). (2, 0). (2, 2). (2, 3), (3, 2). (3, 3)}

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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Which of the following relations on the set A = {0, 1, 2, 3} is an equivalence relation? Check all that apply.
R = {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)}
R = {(0, 0), (1, 1), (2, 2), (3, 3)}
R = {(0,0,.), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2). (3, 3)}
OR= {(0,0,), (0, 2), (2, 0). (2, 2), (2, 3), (3, 2), (3, 3)}
Transcribed Image Text:Which of the following relations on the set A = {0, 1, 2, 3} is an equivalence relation? Check all that apply. R = {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} R = {(0, 0), (1, 1), (2, 2), (3, 3)} R = {(0,0,.), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2). (3, 3)} OR= {(0,0,), (0, 2), (2, 0). (2, 2), (2, 3), (3, 2), (3, 3)}
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